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400552021000989 = 3211132414011456159
BaseRepresentation
bin101101100010011001100100…
…0111011010000001100011101
31221112020101210001011111011200
41123010303020323100030131
5410000121014334012424
63535523020320510113
7150240633325004634
oct13304631073201435
91845211701144150
10400552021000989
111066a01815380a0
1238b117b947b339
1314266b80056800
1470cab6d76251b
153149425c668c9
hex16c4cc8ed031d

400552021000989 has 144 divisors (see below), whose sum is σ = 701875573701120. Its totient is φ = 218074222080000.

The previous prime is 400552021000973. The next prime is 400552021001029. The reversal of 400552021000989 is 989000120255004.

It is a happy number.

400552021000989 is a `hidden beast` number, since 4 + 0 + 0 + 552 + 0 + 2 + 1 + 0 + 0 + 0 + 98 + 9 = 666.

It is not a de Polignac number, because 400552021000989 - 24 = 400552021000973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400552021000949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274346292 + ... + 275802450.

It is an arithmetic number, because the mean of its divisors is an integer number (4874135928480).

Almost surely, 2400552021000989 is an apocalyptic number.

It is an amenable number.

400552021000989 is a deficient number, since it is larger than the sum of its proper divisors (301323552700131).

400552021000989 is a wasteful number, since it uses less digits than its factorization.

400552021000989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456644 (or 1456628 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 400552021000989 in words is "four hundred trillion, five hundred fifty-two billion, twenty-one million, nine hundred eighty-nine", and thus it is an aban number.

Divisors: 1 3 9 11 13 33 39 41 99 117 123 143 169 369 401 429 451 507 533 1203 1287 1353 1521 1599 1859 3609 4059 4411 4797 5213 5577 5863 6929 13233 15639 16441 16731 17589 20787 39699 46917 49323 52767 57343 62361 67769 76219 147969 172029 180851 203307 213733 228657 516087 542553 609921 641199 685971 745459 1456159 1627659 1923597 2236377 2351063 2778529 4368477 6709131 7053189 8335587 13105431 16017749 18930067 21159567 25006761 30563819 48053247 56790201 59702519 91691457 144159741 170370603 179107557 208230737 246090871 275074371 537322671 583919759 624692211 656727709 738272613 776132747 1751759277 1874076633 1970183127 2214817839 2328398241 2706999581 5255277831 5910549381 6423117349 6985194723 7590956867 8120998743 8537460217 10089725711 19269352047 22772870601 23940710119 24362996229 25612380651 30269177133 57808056141 68318611803 71822130357 76837141953 83500525537 90807531399 98682439271 110986982821 215466391071 250501576611 263347811309 296047317813 311229231547 332960948463 751504729833 790043433927 888141953439 933687694641 998882845389 1085506831981 2370130301781 2801063083923 3256520495943 3423521547017 4045980010111 9769561487829 10270564641051 12137940030333 30811693923153 36413820090999 44505780111221 133517340333663 400552021000989